Question

find the area of the shaded portion

Answer 1

Join B and D
Now ABD is a right angled triangle
Find BD by Pythagoras theorem
After solving we get BD=10cm
Half BD to get radius
Radius is now 5cm

Ar. Shaded part = ar.circle - ar.rect.

Answer 2

Diameter of circle can be calc.using Pythagoras theorem
8^2 +6^2=100
Diameter =10 radius =5
Area of circle = pie *5^2
Area of rectangle = 8*6=48
Area of shaded region= 25pie - 48 =30.53